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Finding the Fourth Proportional to 143,243.38, 197,664.28 and 82,817.90

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Solution

The fourth proportional to 143,243.38, 197,664.28 and 82,817.90 is: 114,282.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,243.38 : 197,664.28 = 82,817.90 : x
  2. Step 2: Convert to fraction form
    143,243.38/197,664.28 = 82,817.90/x
  3. Step 3: Cross multiply
    143,243.38x = 197,664.28 × 82,817.90
  4. Step 4: Simplify right side
    143,243.38x = 16,370,140,574.61
  5. Step 5: Solve for x
    x = 16,370,140,574.61/143,243.38
  6. Step 6: Final answer
    x = 114,282.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.